Factorial!

[that-tree]

For positive integer 𝑛 , the factorial notation 𝑛! represents the product of the integers from 𝑛 to 1. (For example, 6! = 6 ⋅ 5 ⋅ 4 ⋅ 3⋅ 2⋅ 1.) What value of 𝑁 satisfies the following equation?

5! ⋅ 9! = 12⋅𝑁!

• A: 10
• B: 11
• C: 12
• D: 13
• E: 14